Question

A state park has two pools. The olympic size pool holds 8.12 x 10^5
gallons of water and the smaller pool holds 5.27 x 10^5
gallons of water. What is the combined capacity of the pools?
Responses
A 1.339 x
gallons1.339 x 10 4 gallons
B 1.339 x
gallons1.339 x 10 6 gallons
C 13.39 x
gallons13.39 x 10 10 gallons
D 1.339 x
gallons1.339 x 10 10 gallons
E 2.85 x
gallons

Answer 1

To find the combined capacity of the two pools, we need to add their capacities together:

1. Olympic size pool: \( 8.12 \times 10^5 \) gallons
2. Smaller pool: \( 5.27 \times 10^5 \) gallons

We can add these two numbers directly:

\[
8.12 \times 10^5 + 5.27 \times 10^5 = (8.12 + 5.27) \times 10^5
\]

Now calculate \( 8.12 + 5.27 \):

\[
8.12 + 5.27 = 13.39
\]

So, the combined capacity is:

\[
13.39 \times 10^5 \text{ gallons}
\]

Now we can express this in scientific notation correctly:

\[
13.39 \times 10^5 = 1.339 \times 10^6 \text{ gallons} \quad \text{(by moving the decimal point one place to the left)}
\]

Thus, the answer is:

**B** \(1.339 \times 10^6 \text{ gallons}\)